Precalculus Examples

$a^{\frac{15}{4}} \cdot a^{- \frac{7}{4}}$

Step 1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{\frac{15}{4} - \frac{7}{4}}$

Step 2

Combine the numerators over the common denominator.

$a^{\frac{15 - 7}{4}}$

Step 3

Subtract $7$ from $15$ .

$a^{\frac{8}{4}}$

Step 4

Divide $8$ by $4$ .

$a^{2}$